Single-qubit gates

Beginner · 4 lessons · 18 activities

A gate is a reversible rotation of a state, not a truth table. Meet X and H, learn to read a circuit left to right as a sequence of time slices, and practise reaching a state you were handed rather than pushing symbols around.

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Lessons

  1. Gates move the state

    A gate is a rotation, not a truth table. Meet X and H by driving a qubit with one gate at a time, then find the case where X stops behaving like NOT.

    5 activities · 13 min

  2. Reading a circuit

    A circuit is one qubit's history read left to right. Learn what a wire means, why the order of two gates changes the answer, and how to undo a circuit you were handed.

    5 activities · 13 min

  3. Rotations by any angle

    X and H are two rotations out of infinitely many. Turn a qubit by an angle you choose, meet the half-angle that trips everyone up, and tune a circuit to the odds you were asked for.

    4 activities · 11 min

  4. Reach a state you were handed

    Stop pushing symbols and start solving: read a target off the circle, find a circuit that reaches it, and recognise when two different circuits are the same gate.

    4 activities · 12 min